What is the inverse of f(x)=-9(x-3)^2-11 ?

The inverse of f(x)=-9(x-3)^2-11 is sqrt(-(x+11)/9)+3,-sqrt(-(x+11)/9)+3

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inverse of f(x)=-9(x-3)^2-11

inverse

f (x) = - 9 (x - 3)^{2} - 11

- \frac{x + 11}{9} + 3, - - \frac{x + 11}{9} + 3

Solution steps

y = - 9 (x - 3)^{2} - 11

Replace

x

with

y

x = - 9 (y - 3)^{2} - 11

Solve for

y, x = - 9 (y - 3)^{2} - 11

- \frac{x + 11}{9} + 3, - - \frac{x + 11}{9} + 3

What is the inverse of f(x)=-9(x-3)^2-11 ?
The inverse of f(x)=-9(x-3)^2-11 is sqrt(-(x+11)/9)+3,-sqrt(-(x+11)/9)+3